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Factor analysis is often used to assess whether a single univariate latent variable is sufficient to explain most of the covariance among a set of indicators for some underlying construct. When evidence suggests that a single factor is…

Methodology · Statistics 2022-04-18 Tyler J. VanderWeele , Stijn Vansteelandt

While the SLIM approach obtained high ranking-accuracy in many experiments in the literature, it is also known for its high computational cost of learning its parameters from data. For this reason, we focus in this paper on variants of…

Information Retrieval · Computer Science 2019-05-01 Harald Steck

In financial trading, factor models are widely used to price assets and capture excess returns from mispricing. Recently, we have witnessed the rise of variational autoencoder-based latent factor models, which learn latent factors…

Machine Learning · Computer Science 2026-01-15 Yilei Zhao , Wentao Zhang , Tingran Yang , Yong Jiang , Fei Huang , Wei Yang Bryan Lim

We consider covariate adjusted regression (CAR), a regression method for situations where predictors and response are observed after being distorted by a multiplicative factor. The distorting factors are unknown functions of an observable…

Statistics Theory · Mathematics 2016-08-16 Damla Şentürk , Hans-Georg Müller

We consider the problem of robustly testing the norm of a high-dimensional sparse signal vector under two different observation models. In the first model, we are given $n$ i.i.d. samples from the distribution…

Information Theory · Computer Science 2022-11-08 Anand Jerry George , Clément L. Canonne

We propose a new matrix factor model, named RaDFaM, which is strictly derived based on the general rank decomposition and assumes a structure of a high-dimensional vector factor model for each basis vector. RaDFaM contributes a novel class…

Methodology · Statistics 2024-02-14 Xu Zhang , Catherine C. Liu , Jianhua Guo , K. C. Yuen , A. H. Welsh

This article considers to model large-dimensional matrix time series by introducing a regression term to the matrix factor model. This is an extension of classic matrix factor model to incorporate the information of known factors or useful…

Methodology · Statistics 2024-11-26 Yongchang Hui , Yuteng Zhang , Siting Huang

Sparse matrix factorization is a popular tool to obtain interpretable data decompositions, which are also effective to perform data completion or denoising. Its applicability to large datasets has been addressed with online and randomized…

Machine Learning · Statistics 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

Despite the popularity of factor models with sparse loading matrices, little attention has been given to formally address identifiability of these models beyond standard rotation-based identification such as the positive lower triangular…

Econometrics · Economics 2025-02-12 Darjus Hosszejni , Sylvia Frühwirth-Schnatter

Distributed statistical learning has become a popular technique for large-scale data analysis. Most existing work in this area focuses on dividing the observations, but we propose a new algorithm, DDAC-SpAM, which divides the features under…

Machine Learning · Computer Science 2023-07-11 Yifan He , Ruiyang Wu , Yong Zhou , Yang Feng

Recovering latent structure from count data has received considerable attention in network inference, particularly when one seeks both cross-group interactions and within-group similarity patterns in bipartite networks, which is widely used…

Machine Learning · Statistics 2026-04-27 Aoran Zhang , Tianyao Wei , Maria J. Guerrero , César A. Uribe

Latent variable models are powerful statistical tools that can uncover relevant variation between patients or cells, by inferring unobserved hidden states from observable high-dimensional data. A major shortcoming of current methods,…

Machine Learning · Statistics 2022-04-12 Arber Qoku , Florian Buettner

Federated active learning (FAL) seeks to reduce annotation cost under privacy constraints, yet its effectiveness degrades in realistic settings with severe global class imbalance and highly heterogeneous clients. We conduct a systematic…

Machine Learning · Computer Science 2026-03-12 Chen-Chen Zong , Sheng-Jun Huang

Approximate message passing (AMP) is an effective iterative sparse recovery algorithm for linear system models. Its performance is characterized by the state evolution (SE) which is a simple scalar recursion. However, depending on a…

Signal Processing · Electrical Eng. & Systems 2018-04-02 Kazushi Mimura

This paper proposes a new procedure to validate the multi-factor pricing theory by testing the presence of alpha in linear factor pricing models with a large number of assets. Because the market's inefficient pricing is likely to occur to a…

Methodology · Statistics 2023-05-23 Qiang Xia , Xianyang Zhang

Factorization Machines (FMs) are a supervised learning approach that enhances the linear regression model by incorporating the second-order feature interactions. Despite effectiveness, FM can be hindered by its modelling of all feature…

Machine Learning · Computer Science 2017-08-17 Jun Xiao , Hao Ye , Xiangnan He , Hanwang Zhang , Fei Wu , Tat-Seng Chua

This paper studies optimal estimation of large-dimensional nonlinear factor models. The key challenge is that the observed variables are possibly nonlinear functions of some latent variables where the functional forms are left unspecified.…

Statistics Theory · Mathematics 2023-11-14 Yingjie Feng

This paper introduces a new kind of seasonal fractional autoregressive process (SFAR) driven by fractional Gaussian noise (fGn). The new model includes a standard seasonal AR model and fGn. {The estimation of the parameters of this new…

Applications · Statistics 2025-04-01 Chunhao Cai , Yiwu Shang

Federated learning has become a popular tool in the big data era nowadays. It trains a centralized model based on data from different clients while keeping data decentralized. In this paper, we propose a federated sparse sliced inverse…

Machine Learning · Statistics 2023-01-24 Wenquan Cui , Yue Zhao , Jianjun Xu , Haoyang Cheng

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro
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